Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder

DOI10.1016/J.CAMWA.2016.06.011zbMath1412.35308arXiv1607.00842OpenAlexW2463739309MaRDI QIDQ666756

Juan-Miguel Gracia

Publication date: 12 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00842

zbMATH Keywords

nonlinear Schrödinger equationcontinuous time random walkLiouville equationfractional Fokker-Planck equationsubdiffusionquantum continuous time random walk

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

Related Items (3)

Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method ⋮ Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder ⋮ Fractional Schrödinger equation in gravitational optics

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